The Gotchipus ecosystem employs a sophisticated numerical framework designed to provide balanced progression while maintaining strategic depth. This document explains the core mathematical mechanics that govern attribute growth, faction bonuses, and evolution systems.

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📊 Core Attribute Framework

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Six Primary Attributes

Each Gotchipus possesses six fundamental attributes that determine their capabilities across various gameplay scenarios. These attributes form the foundation of all strategic decisions and combat calculations:
  • Strength (STR): Governs physical attack power and construction efficiency
  • Defense (DEF): Controls damage reduction and structural durability
  • Mind (INT): Influences magical abilities and research speed
  • Vitality (VIT): Determines health points and recovery rates
  • Agility (AGI): Affects action speed and evasion capabilities
  • Luck (LUK): Impacts critical hit rates and resource acquisition

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Initial Attribute Calculation

Base attribute values are determined by the Gotchipus rarity tier, following this mathematical relationship: 
Base_Attribute = 12 + (rarity_level × 3) + special_bonus
Where:
  • Common (rarity 0): 12 points
  • Rare (rarity 1): 15 points
  • Epic (rarity 2): 18 points
  • Legendary (rarity 3): 22 points
The special bonus adds 1 additional point for Legendary tier Gotchipus, representing their exceptional nature.

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📈 Experience & Leveling Mathematics

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Smooth Growth Curve

The experience system uses a continuous mathematical function to ensure smooth progression without artificial barriers. This prevents the common issue of level “walls” that can frustrate players: 
XP_Required = round((OFFSET + STEP × Level) ^ POWER)
Standard Parameters:
  • OFFSET = 50 (base experience requirement)
  • STEP = 25 (linear growth factor)
  • POWER = 1.5 (exponential scaling)
Example Calculations:
  • Level 1: (50 + 25×1)^1.5 = 650 XP
  • Level 10: (50 + 25×10)^1.5 = 5,196 XP
  • Level 50: (50 + 25×50)^1.5 = 46,852 XP
This formula ensures that early levels are achievable while higher levels require substantial commitment, maintaining long-term engagement.

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Attribute Point Distribution

The attribute point allocation system balances rapid early growth with sustained long-term progression. Points are awarded based on level ranges with diminishing returns: Base Point Formula: 
Points_Per_Level = {
    3 if level ≤ 20
    2 if 21 ≤ level ≤ 50  
    1 if 51 ≤ level ≤ 100
    0.5 if level > 100 (every 2 levels)
}
Rarity Bonus System: Every 10 levels, additional points are granted based on rarity: 
Rarity_Bonus = floor(level / 10) × rarity_multiplier
Where rarity_multiplier equals the rarity level (0 for Common, 1 for Rare, 2 for Epic, 3 for Legendary). Milestone Rewards: Significant level achievements provide bonus attribute points: 
Milestone_Bonus = floor(level / 25) × 5 + floor(level / 50) × 10 + floor(level / 100) × 20
This creates excitement around major level milestones while providing substantial rewards for dedicated players.